Concept

Étale cohomology

Related lectures (28)

Algebraic Cycles and Etale Cohomology

Explores algebraic cycles, etale cohomology, and counterexamples to the Hodge conjecture.

Étale Motives and the Hodge Conjecture

Explores étale motivic cohomology and the Hodge conjecture with a focus on counter-examples.

Group Cohomology

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Cohomology Groups: Hopf Formula

Explores the Hopf formula in cohomology groups, emphasizing the 4-term exact sequence and its implications.

Cross Product in Cohomology

Explores the cross product in cohomology, covering its properties and applications in homotopy.

Cohomology Real Projective Space

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Homological Algebra: Basics and Applications

Covers the basics of Homological algebra, focusing on Ext modules and their significance in modern mathematics.

Homology of Projective Space

Covers the homology of projective space, focusing on cohomology and exact sequences.

P-adic integration: Rationality and Igusa zeta function

Explores p-adic integration, Igusa zeta function rationality, and monodromy conjectures.

Topology Seminar: Tower Sequences and Homomorphisms

Explores tower sequences, homomorphisms, and their applications in topology, including the computation of homology and the construction of telescopes.

Cohomology: Abelian Cochains

Introduces cohomology, focusing on abelian cochains and their correspondence with singular cochains.

Cohomology of C2: Cup Product

Covers the cup product in the cohomology of C2, showing how non-trivial elements are represented by cocycles.

Cohomology: Cross Product

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Isogeny Graphs: Eigenvalues and Cryptography

Explores isogeny graphs of supersingular elliptic curves, showing optimal mixing times for random walks and applications to cryptography.

Cohomology: Cup Product

Covers the cup product in cohomology, focusing on examples and computations.

Derived Functor Approach

Covers the derived functor approach to Čech cohomology, emphasizing the relationship between derived functors and sheaf theory.

Cohomology of Quasi-Coherent on Affine Schemes

Covers the cohomology of quasi-coherent sheaves on affine schemes.

Algebraic Kunneth Theorem

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

Cohomology: Recollection and Foliations

Covers cohomology, injective resolutions, and acyclic objects in an abelian category.

Graded Ring Structure on Cohomology

Explores the associative and commutative properties of the cup product in cohomology, with a focus on graded structures.